# Trigonometry Examples

Find an angle that is coterminal to .

Add to .

The resulting angle of is coterminal with but isn't positive. Repeat the step.

Add to .

The resulting angle of is positive and coterminal with .

Find the value using the definition of cotangent.

Substitute the values into the definition.

Simplify the result.

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor of .

Rewrite.

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Multiply by .